{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#本章需导入的模块\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import warnings\n",
    "warnings.filterwarnings(action = 'ignore')\n",
    "%matplotlib inline\n",
    "plt.rcParams['font.sans-serif']=['SimHei']  #解决中文显示乱码问题\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "import sklearn.linear_model as LM\n",
    "from sklearn.metrics import classification_report\n",
    "from sklearn.model_selection import cross_validate,train_test_split\n",
    "from sklearn import neighbors,preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def guass(x):\n",
    "    x=preprocessing.scale(x)\n",
    "    output=1/np.sqrt(2*np.pi)*np.exp(-x*x/2)\n",
    "    return output\n",
    "\n",
    "np.random.seed(123)\n",
    "N=50\n",
    "n=int(0.5*N)\n",
    "X=np.random.normal(0,1,size=100).reshape(N,2)\n",
    "Y=[0]*n+[1]*n\n",
    "X[0:n]=X[0:n]+1.5\n",
    "X1,X2 = np.meshgrid(np.linspace(X[:,0].min(),X[:,0].max(),100), np.linspace(X[:,1].min(),X[:,1].max(),100))\n",
    "data=np.hstack((X1.reshape(10000,1),X2.reshape(10000,1)))\n",
    "\n",
    "fig,axes=plt.subplots(nrows=2,ncols=2,figsize=(15,12))\n",
    "for W,K,H,L,T in [('distance',30,0,0,'倒数加权'),(guass,30,0,1,'高斯加权'),('distance',40,1,0,'倒数加权'),(guass,40,1,1,'高斯加权')]:\n",
    "    modelKNN=neighbors.KNeighborsClassifier(n_neighbors=K,weights=W)\n",
    "    modelKNN.fit(X,Y)\n",
    "    Yhat=modelKNN.predict(data)    \n",
    "    for k,c in [(0,'silver'),(1,'red')]:\n",
    "        axes[H,L].scatter(data[Yhat==k,0],data[Yhat==k,1],color=c,marker='o',s=1)\n",
    "    axes[H,L].scatter(X[:n,0],X[:n,1],color='black',marker='+')\n",
    "    axes[H,L].scatter(X[(n+1):N,0],X[(n+1):N,1],color='magenta',marker='o')\n",
    "    axes[H,L].set_xlabel(\"X1\")\n",
    "    axes[H,L].set_ylabel(\"X2\")\n",
    "    axes[H,L].set_title(\"%d-近邻分类边界-%s(训练误差%.2f)\"%((K,T,1-modelKNN.score(X,Y))))\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "说明：仍沿用3.4.2节的模拟数据，观察加权K-近邻法不同加权策略和参数K下的分类预测误差以及分类边界。\n",
    "1、采用循环方式实现不同加权策略和参数K下的加权K-近邻。循环中的W,K,H,L,T依次表示加权策略，图形的行坐标和列坐标，以及图形标题。\n",
    "2、KNeighborsClassifier中的weight参数用于指定加权策略，可选值为\"distance\"和\"uniform\",分别是倒数加权和均匀核（默认值）。此外，允许指定weight参数为一个用户自定义函数。因KNeighborsClassifier没有提供高斯核函数，所以采用自定义函数方式实现。\n",
    "3、def guass(x)表示定义名为guass的用户自定义函数。首先对距离进行标准化处理，然后计算相应的高斯密度函数值。这里指定高斯核函数中的示性函数I()等于1。\n",
    "4、本例中，加权K-近邻法的训练误差低于普通K-近邻法。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
